The marines -- Massimiliano Latorre and Salvatore Girone -- face trial in a special Indian court for shooting and killing two Indian fisherman while guarding an Italian oil tanker off the coast of Kerala last February.
India and Italy are engaged in a row after Rome reneged on its commitment to send back the two marines, who were allowed by the Supreme Court on February 22 to go to Italy for four weeks for voting in election.
She said she is happy that the two are getting back to their work.
"Our boys are free to do their duty. Justice has been done," she told NDTV.
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India is in the process of downgrading its diplomatic ties and decided not to post the Ambassador-designate to Rome who was to assume the charge by next week.
The Indian government had this week announced decision to initiate review of entire gamut of relations with Italy which includes diplomatic, trade and defence ties apart from reaching out to the European Union, which was briefed on India's views and position in the matter.